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Shell-model calculations on Ni and Cu isotopes

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

Binding energies, excitation energies and spectroscopic factors have been calculated for57–67Ni and58–68Cu in an unrestricted (2p3/2, lf 5/2,2p1/2) shell-model space. The effective two-body matrix elements are obtained from the modified surface delta interaction (MSDI) and from a least-squares fit to experimental binding and excitation energies (ASDI). The average deviation between about 100 experimental and calculated energies is 0.14MeV for MSDI and 0.08 MeV for ASDI. Excitation energies of high-spin states are given also. Spectroscopic factors have been calculated for all single-nucleon transfer reactions on stable Ni or Cu targets leading to Ni or Cu isotopes. For spectroscopic factors larger than 0.4 the average deviation between theory and experiment is about 30%. The experimentally observed and calculated spectroscopic strengths are compared by using sum rules and are found to be consistent. An extensive compilation has been made of experimental data on energies,J π assignments and spectroscopic factors.

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References

  1. Auerbach, N.: Phys. Rev.163, 1203 (1967)

    Google Scholar 

  2. Cohen, S., Lawson, R. D., Macfarlane, M. H., Pandya, S. P., Soga, M.: Phys. Rev.160, 903 (1967)

    Google Scholar 

  3. Glaudemans, P. W. M., de Voigt, M. J. A., Steffens, E. F. M.: Nucl. Phys. A198, 609 (1972)

    Google Scholar 

  4. Lawson, R.D., Macfarlane, M. H., Kuo, T.T.S.: Phys. Lett.22, 168 (1966)

    Google Scholar 

  5. Rustgi, M.L., Kung, H.W., Raj, R., Nisley, R.A., Hull, M.H. Jr.: Phys. Rev. C4, 854 (1971)

    Google Scholar 

  6. Hsu, L.S.: Nucl. Phys. A96, 624 (1967)

    Google Scholar 

  7. Auerbach, N.: Nucl. Phys.76, 321 (1966)

    Google Scholar 

  8. Arima, A., Harvey, M., Shimizu, K.: Phys. Lett.30B, 517 (1969)

    Google Scholar 

  9. Strottman, D.: Nucl. Phys. A188, 488 (1972)

    Google Scholar 

  10. Phillips, E.A., Jackson, A.D.: Phys. Rev.169, 917 (1968)

    Google Scholar 

  11. Wong, S.S.M.: Nucl. Phys. A159, 235 (1970)

    Google Scholar 

  12. Perazzo, R.J. P.: Nucl. Phys. A186, 379 (1972)

    Google Scholar 

  13. Wang, M.C., Chiang, H.C., Hsieh, S.T., Lin, E.K.: Nuovo Cim.29 A, 49 (1975)

    Google Scholar 

  14. Kong-A-Siou,D.H, Wildenthal, B.H.: Michigan State University, private communication

  15. Thankappan, V.K., True, W. W.: Phys. Rev.137, B 793 (1965)

    Google Scholar 

  16. Beres, W.P.: Nucl. Phys.75, 255 (1966)

    Google Scholar 

  17. Paar, V.: Nucl. Phys. A147, 369 (1970)

    Google Scholar 

  18. De Jager, J.L., Boeker, E.: Nucl. Phys. A216, 349 (1973)

    Google Scholar 

  19. Bouten, M., van Leuven, P.: Nucl. Phys.32, 499 (1962)

    Google Scholar 

  20. Gomez, J.M.G.: Nucl. Phys. A173, 537 (1971)

    Google Scholar 

  21. Castel, B., Johnstone, I.P., Singh, B.P., Stewart, K.W.C.: Can. J. Phys.50, 1630 (1972)

    Google Scholar 

  22. De Jager, J.L.: Thesis, Vrije Universiteit, Amsterdam 1974

    Google Scholar 

  23. Meurders, F., Glaudemans, P.W.M., van Hienen, J.F.A., Timmer, G.A.: Z. Physik A276, 113 (1976)

    Google Scholar 

  24. Jänecke, J.: Isospin in Nuclear Physics, Wilkinson, D.H., ed., Ch. 8. Amsterdam: North-Holland 1969

    Google Scholar 

  25. Bevington, P. R.: Data reduction and error analysis for the physical sciences. New York: McGraw-Hill 1969

    Google Scholar 

  26. Glaudemans, P.W.M., Brussaard, P.J., Wildenthal, B.H.: Nucl. Phys. A102, 593 (1967)

    Google Scholar 

  27. Glaudemans, P.W.M.: Proc. 4th Summer school on nuclear physics, vol.2, p. 183. Rudziska, Poland 1971

    Google Scholar 

  28. Talmi, L.: Phys. Rev.89, 1065 (1953)

    Google Scholar 

  29. Evers, D., Stocker, W.: Phys. Lett.33B, 559 (1970)

    Google Scholar 

  30. Wapstra, A.H., Gove, N.B.: Nucl. Data Tables9, 265 (1971)

    Google Scholar 

  31. Garvey, G.T., Gerace, W.J., Jaffe, R.L., Talmi, I., Kelson, I.: Revs. Mod. Phys.41, S1 (1969)

    Google Scholar 

  32. Rapaport, J.: Nucl. Data Sheets B3, 103 (1969)

    Google Scholar 

  33. Raman, S.: Nucl. Data Sheets B3, 145 (1969)

    Google Scholar 

  34. Vervier, J.: Nucl. Data Sheets B2, 1 (1968)

    Google Scholar 

  35. Kim, H. J.: Nucl. Data Sheets16, 317 (1975)

    Google Scholar 

  36. Auble, R.L.: Nucl. Data Sheets16, 1 (1975)

    Google Scholar 

  37. Verheul, H.: Nucl. Data Sheets13, 443 (1974)

    Google Scholar 

  38. Auble, R.L.: Nucl. Data Sheets14, 119 (1975)

    Google Scholar 

  39. Auble, R.L.: Nucl. Data Sheets12, 305 (1974)

    Google Scholar 

  40. Auble, R.L.: Nucl. Data Sheets16, 351 (1975)

    Google Scholar 

  41. Auble, R.L.: Nucl. Data Sheets16, 383 (1975)

    Google Scholar 

  42. Auble, R.L.: Nucl. Data Sheets16, 417 (1975)

    Google Scholar 

  43. Lewis, M.B.: Nucl. Data Sheets14, 155 (1975)

    Google Scholar 

  44. Pichevar, M., Delaunay, J., Delaunay, B.: Nucl. Phys. A224, 34 (1974)

    Google Scholar 

  45. De-Shalit, A., Talmi, I.: Nuclear shell theory. New York: Academic Press 1963

    Google Scholar 

  46. Bertin, M. C., Benczer-Koller, N., Seaman, G.G., MacDonald, J.R.: Phys. Rev.183, 964 (1969)

    Google Scholar 

  47. Van Patter, D.M., Horoshko, R.N., Scott, H.L., Hinrichsen, P.F.: Nucl. Phys. A137, 353 (1969)

    Google Scholar 

  48. Start, D.F.H., Anderson, R., Carlson, L.E., Robertson, A. G., Grace, M.A.: Nucl. Phys. A162, 49 (1971)

    Google Scholar 

  49. Start, D. F. H., Carlson, L. E., Hutcheon, D. A., Robertson, A. G., Warburton, E.K., Weaver, J. J.: Nucl. Phys. A193, 33 (1972)

    Google Scholar 

  50. Rudolph, H., McGrath, R.L.: Phys. Rev. C8, 247 (1973)

    Google Scholar 

  51. Kong-A-Siou, D.H., Nann, H.: Phys. Rev. C11, 1681 (1975)

    Google Scholar 

  52. Darcey, W., Chapman, R., Hinds, S.: Nucl. Phys. A170, 253 (1971)

    Google Scholar 

  53. Van Patter, D.M., Rauch, F., Seim, B.: Nucl. Phys. A204, 172 (1973)

    Google Scholar 

  54. Monseu, Ph., Forssten, K., Sawa, Z. P.: Phys. Scripta9, 26 (1974)

    Google Scholar 

  55. Cosman, E. R., Paris, C. H., Sperduto, A., Enge, H. A.: Phys. Rev.142, 673 (1966)

    Google Scholar 

  56. Chowdhury, M.S., Sen Gupta, H. M.: Nucl. Phys. A205, 454 (1973)

    Google Scholar 

  57. Williams, J.R., Gould, C.R., Nelson, R.O., Tilley, D.R., Rickel, D.G., Roberson, N.R.: Nucl. Phys. A253, 365 (1975)

    Google Scholar 

  58. Twin, P.J.: Oliver Lodge Laboratory, Liverpool, private communication

  59. Nelson, R.O., Gould, C.R., Tilley, D.R., Roberson, N.R.: Phys. Rev. C9, 2193 (1974)

    Google Scholar 

  60. Trentelman, J. P., Cooke, B.E., Leslie, J.R., McLatchie, W., Robertson, B.C.: Nucl. Phys. A246, 457 (1975)

    Google Scholar 

  61. Van Patter, D.M.: Bartol Research Foundation, Swarthmore, private communication

  62. Sarantites, D. G., Barker, J. H., Lu, N. H., Hoffman, E. J., van Patter, D.M.: Phys. Rev. C8, 629 (1973)

    Google Scholar 

  63. Dayras, R., Cujec, B., Szöghy, I.M.: Nucl. Phys. A257, 118 (1976)

    Google Scholar 

  64. Hartas, A. G.: N.R.C. “Demokritos”, Athens, private communication

  65. Hoffman, E.J., Sarantites, D.G.: Phys. Rev.177, 1640 (1969)

    Google Scholar 

  66. Dulfer, G.H., ten Brink, B.O., Ketel, T.J., Kalshoven, A.W.B., Verheul, H.: Z. Physik251, 416 (1972)

    Google Scholar 

  67. Young, H. J., Rapaport, J.: Phys. Lett.26B, 143 (1968)

    Google Scholar 

  68. Sunyar, A.W., Gelletly, W., Mariscotti, M.A.J., Thieberger, P.: Bull. Am. Phys. Soc.14, 1203 (1969)

    Google Scholar 

  69. Daehnick, W.W., Park, Y.S., Dittmer, D. L.: Phys. Rev. C8, 1394 (1973)

    Google Scholar 

  70. Bleck, J., Butt, R., Lindenberger, K.H., Ribbe, W., Zeitz, W.: Z. Physik263, 169 (1973)

    Google Scholar 

  71. Davidson, W. F., Najam, M.R., Dallimore, P.J., Hellström, J., Powell, D.L.: Nucl. Phys. A154, 539 (1970)

    Google Scholar 

  72. Bachner, D., Kelleter, H., Schmidt, B., Seliger, W.: Nucl. Phys. A183, 497 (1972)

    Google Scholar 

  73. Giesler, G.C., McHarris, Wm. C., Warner, R.A., Kelly, W.H.: Phys. Rev. C7, 620 (1973)

    Google Scholar 

  74. Jongsma, H. W., Kamermans, R., Verheul, H.: Z. Physik270, 89 (1974)

    Google Scholar 

  75. Bass, W.T., Stelson, P.H.: Phys. Rev. C2, 2154 (1970)

    Google Scholar 

  76. Green, P. W., Sheppard, D.M.: Proc. Int. Conf. on Nuclear Physics, de Boer, J., Mang, H. J. eds., vol.1, p. 213. Amsterdam: North-Holland 1973

    Google Scholar 

  77. Shera, E.B., Bolotin, H.H.: Phys. Rev.169, 940 (1968)

    Google Scholar 

  78. Daehnick, W.W., Park, Y.S.: Phys. Rev.180, 1062 (1969)

    Google Scholar 

  79. Bleck, J., Butt, R., Lindenberger, K. H., Ribbe, W., Zeitz, W.: Nucl. Phys. A197, 620 (1972)

    Google Scholar 

  80. Bjerregaard, J.H., Nathan, O., Hinds, S., Middleton, R.: Nucl. Phys.85, 593 (1966)

    Google Scholar 

  81. Semenescu, G., Ivascu, M., Bucurescu, D., Titirici, M.: Rev. Roumaine Phys.13, 185 (1968)

    Google Scholar 

  82. Bucurescu, D., Ivascu, M., Semenescu, G., Titirici, M.: Nucl. Phys. A189, 577 (1972)

    Google Scholar 

  83. Swindle, D.L., Morcos, N.A., Ward, T.E., Meason, J.L.: Nucl. Phys. A185, 561 (1972)

    Google Scholar 

  84. Endt, P. M.: To be published in Atomic Data and Nuclear Data Tables

  85. Mayer, B., Gosset, J., Escudie, J.L., Kamitsubo, H.: Nucl. Phys. A177, 205 (1971)

    Google Scholar 

  86. Legg, J.C., Rost, E.: Phys. Rev.134, B 752 (1964)

    Google Scholar 

  87. Glashausser, G., Rickey, M.E.: Phys. Rev.154, 1033 (1967)

    Google Scholar 

  88. Philpott, R. J., Pinkston, W. T., Satchler, G. R.: Nucl. Phys. A119, 241 (1968)

    Google Scholar 

  89. Edwards, F. M., Kraushaar, J. J., Ridley, B. W.: Nucl. Phys. A199, 463 (1973)

    Google Scholar 

  90. Ohnuma, H., Suehiro, T., Sekiguchi, M., Yamada, S.: J. Phys. Soc. Japan36, 1236 and 1245 (1974)

    Google Scholar 

  91. Fou, C.-M., Zurmühle, R.W.: Phys. Rev.140, B 1283 (1965)

    Google Scholar 

  92. Bingham, C.R., Halbert, M.L.: Phys. Rev.169, 933 (1968)

    Google Scholar 

  93. Rundquist, D.E., Brussel, M.K., Yavin, A.I.: Phys. Rev.168, 1296 (1968)

    Google Scholar 

  94. Artemov, K. P., Goldberg, V.Z., Islamov, B.I., Rudakov, V.P.: Yad. Fiz.10, 911 (1969)

    Google Scholar 

  95. Fulmer, R.H., Daehnick, W. W.: Phys. Rev.139, B 579 (1965)

    Google Scholar 

  96. Ohnuma, H., Takeda, S., Nakanishi, N., Yamada, S., Sekiguchi, M., Toyama, H.: J. Phys. Soc. Japan38, 1557 (1975)

    Google Scholar 

  97. Fou, C.-M., Zurmühle, R.W., Swenson, L.W.: Phys. Rev.144, 927 (1966)

    Google Scholar 

  98. Kong-A-Siou, D.H., Chien, W.S.: Phys. Lett.52B, 175 (1974)

    Google Scholar 

  99. Hjorth, S.A., Allen, L.H.: Arkiv Fysik33, 207 (1967)

    Google Scholar 

  100. Hiebert, J.C., Newman, E., Bassel, R.H.: Phys. Lett.15, 160 (1965)

    Google Scholar 

  101. Hiebert, J.C., Newman, E.: Nucl. Phys. A113, 176 (1968)

    Google Scholar 

  102. Mairie, G., Kaschl, G. Th., Link, H., Mackh, H., Schmidt-Rohr, U., Wagner, G. J., Turek, P.: Nucl. Phys. A134, 180 (1969)

    Google Scholar 

  103. Wang, W.N., Winhold, E. J.: Phys. Rev.140, B 882 (1965)

    Google Scholar 

  104. Chursin, G., Fazio, M., Micheletti, S., Pignanelli, M., Zetta, L.: Nucl. Phys. A93, 209 (1967)

    Google Scholar 

  105. Hudson, G. M., Kemper, K.W., Moore, G. E., Williams, M. E.: Phys. Rev. C12, 474 (1975)

    Google Scholar 

  106. Heymann, G., Cronje, P.: Nucl. Phys. A193, 357 (1972)

    Google Scholar 

  107. Pullen, D.J., Rosner, B.: Phys. Rev.170, 1034 (1968)

    Google Scholar 

  108. Okorokov, V. V., Bochin, V. P., Romanov, V. S., Serezhin, V. M., Smotryaev, V.A., Tolchenkov, D. L., Trostin, I. S., Cheblukov, Yu. N.: Yad. Fiz.8, 668 (1968)

    Google Scholar 

  109. Okorokov, V. V., Tolchenkov, D. L., Cheblukov, Yu. N.: Yad. Fiz.9, 710 (1969)

    Google Scholar 

  110. Marusak, A.L.: Thesis, University of Tennessee 1970

  111. Bommer, J., Fuchs, H., Grabisch, K., Kluge, H., Ribbe, W., Röschert, G.: Nucl. Phys. A199, 115 (1973)

    Google Scholar 

  112. Roussel, P., Bruge, G., Bussiere, A., Faraggi, H., Testoni, J. E.: Nucl. Phys. A155, 306 (1970)

    Google Scholar 

  113. Morrison, G. C., Schiffer, J. P.: Isobaric spin in nuclear physics, Fox, J.D., Robson, D. eds., p. 748. New York: Academic Press 1966

    Google Scholar 

  114. Aymar, J.A., Hiddleston, H. R., Darden, S.E., Rollefson, A.A.: Nucl. Phys. A207, 596 (1973)

    Google Scholar 

  115. Scott, H.D.: Nucl. Phys.27, 490 (1961)

    Google Scholar 

  116. Cohen, B. L., Fulmer, R.H., McCarthy, A. L.: Phys. Rev.126, 698 (1962)

    Google Scholar 

  117. Fulmer, R.H., McCarthy, A.L., Cohen, B.L., Middleton, R.: Phys. Rev.133, B 955 (1964)

    Google Scholar 

  118. Litvin, V.F., Nemilov, Yu.A., Krasnov, L.V., Gridnev, K.A., Zherebtzova, K.I., Lakomkin, Yu.A, Orlova, T.V., Bochin, V.P., Romanov, V.S.: Nucl. Phys. A184, 105 (1972)

    Google Scholar 

  119. Armstrong, D.D., Blair, A.G., Thomas, H.C.: Phys. Rev.155, 1254 (1967)

    Google Scholar 

  120. Fuchs, H., Grabisch, K., Röschert, G.: Nucl. Phys. A133, 385 (1969)

    Google Scholar 

  121. Blair, A.G.: Comptes Rendus du Congrès International de Physique Nucléaire, vol. II, p. 471. Paris 1964

    Google Scholar 

  122. Cosman, E. R., Schramm, D. N., Enge, H. A., Sperduto, A., Paris, C.H.: Phys. Rev.163, 1134 (1967)

    Google Scholar 

  123. Aymar, J. A., Hiddleston, H. R., Berners, E. D., Rollefson, A.A.: Nucl. Phys. A213, 125 (1973)

    Google Scholar 

  124. Morrison, G.C.: Private communication (1967), as quoted in Ref. [35]

  125. Fulmer, R.H., McCarthy, A.L.: Phys. Rev.131, 2133 (1963)

    Google Scholar 

  126. Sorensen, R.A., Lin, E.K., Cohen, B.L.: Phys. Rev.142, 729 (1966)

    Google Scholar 

  127. Alba, F., Sperduto, A., Enge, H.A.: Private communication (1967), as quoted in Ref. [35]

  128. Blair, A.G.: Phys. Rev.140, B 648 (1965)

    Google Scholar 

  129. Smith, D.L., Chen, H.Y., Enge, H.A.: Nucl. Phys. A107, 639 (1968)

    Google Scholar 

  130. White, R.L., Kemper, K. W.: Phys. Rev. C10, 1372 (1974)

    Google Scholar 

  131. Becchetti, F. D., Harvey, B. G., Kovar, D., Mahoney, J., Zisman, M.S.: Phys. Rev. C10, 1846 (1974)

    Google Scholar 

  132. Zabegay, V.M., Melenevsky, A.E., Nemetz, O.F., Nemykin, V.I.: Yad. Fiz.10, 1136 (1969)

    Google Scholar 

  133. Turkiewicz, I.M., Beuzit, P., Delaunay, J., Fouan, J. P.: Nucl. Phys. A143, 641 (1970)

    Google Scholar 

  134. Anfinsen, T.R., Bjorndal, K., Graue, A., Lien, J.R., Sandvik, G.E., Tveita, L.O., Ytterstad, K., Cosman, E.R.: Nucl. Phys. A157, 561 (1970)

    Google Scholar 

  135. Sykes, D., Ramavataram, K., Mercier, G. F., St.-Pierre, C., Yang, C.S.: Can. J. Phys.50, 2096 (1972)

    Google Scholar 

  136. Park, Y.S., Daehnick, W.W.: Phys. Rev.180, 1082 (1969)

    Google Scholar 

  137. Cunsolo, A., Lemaire, M.C., Mermaz, M.C., Sztark, H., Low, K.S., Tamura, T.: Phys. Rev. C10, 180 (1974)

    Google Scholar 

  138. Macfarlane, M.H., French, J.B.: Revs. Mod. Phys.32, 567 (1960)

    Google Scholar 

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The authors are much indebted to the Computer Centre of the University of Groningen for offering the computer facilities which made this work possible. They would also like to thank G. A. Timmer for making available his computer code for the calculation ofS-factors, J. F.A. van Hienen and H. F. de Vries for helpful discussions, and Professor P. M. Endt for critical reading of the manuscript.

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Koops, J.E., Glaudemans, P.W.M. Shell-model calculations on Ni and Cu isotopes. Z Physik A 280, 181–209 (1977). https://doi.org/10.1007/BF01409548

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